| Base | Representation |
|---|---|
| bin | 1001001101000101… |
| … | …11001000010000000 |
| 3 | 110202101120201200000 |
| 4 | 10212202321002000 |
| 5 | 40110030214000 |
| 6 | 2134204400000 |
| 7 | 233313213012 |
| oct | 44642710200 |
| 9 | 13671521600 |
| 10 | 4941648000 |
| 11 | 2106482313 |
| 12 | b5ab46000 |
| 13 | 609a3aa93 |
| 14 | 34c4321b2 |
| 15 | 1ddc7c000 |
| hex | 1268b9080 |
4941648000 has 768 divisors, whose sum is σ = 19461012480. Its totient is φ = 1244160000.
The previous prime is 4941647993. The next prime is 4941648007. The reversal of 4941648000 is 8461494.
It is a happy number.
4941648000 is a `hidden beast` number, since 4 + 9 + 4 + 1 + 648 + 0 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (4941647993) and next prime (4941648007).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (4941648007) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120527980 + ... + 120528020.
It is an arithmetic number, because the mean of its divisors is an integer number (25339860).
Almost surely, 24941648000 is an apocalyptic number.
4941648000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4941648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9730506240).
4941648000 is an abundant number, since it is smaller than the sum of its proper divisors (14519364480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4941648000 is an equidigital number, since it uses as much as digits as its factorization.
4941648000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 116 (or 82 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
The square root of 4941648000 is about 70296.8562597219. The cubic root of 4941648000 is about 1703.2978658529.
The spelling of 4941648000 in words is "four billion, nine hundred forty-one million, six hundred forty-eight thousand".
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